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Finding the Third Proportional to 488.37 and 1,029.43

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Solution

The third proportional to 488.37 and 1,029.43 is: 2,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.37 : 1,029.43 = 1,029.43 : x
  2. Step 2: Convert to fraction form
    488.37/1,029.43 = 1,029.43/x
  3. Step 3: Cross multiply
    488.37x = 1,029.43 × 1,029.43
  4. Step 4: Simplify right side
    488.37x = 1,059,721.46
  5. Step 5: Solve for x
    x = 1,059,721.46/488.37
  6. Step 6: Final answer
    x = 2,169.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.